Question

Please show all work

Answer 1

`\bold{Hello!}\\\bold{Your~Answer~Is~Below!}`

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`\bold{Solution~Steps:}`

`1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:`

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  `\bold{(11)/(15) =w-(8)/(15)}~=~\bold{w-(8)/(15)=(11)/(15) }`

`2.)~Since~(11)/(15) ~and~(8)/(15)~have~the~same~denominator,~add~them~by~adding~their~numerators:`

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  `\bold{w=(11+8)/(15)~=~(19)/(15)}`

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`\bold{Answers:}`

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  `Improper~Fraction~Form:\bold{w=(19)/(15)}`

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  `Mixed~Number~Form:\bold{w=1(4)/(15)}`

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  `Decimal~Form:\bold{w=1.266666667}`

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`\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}`

Answer 2

w = 19/15 or 1 4/15

Explanation:

11/15 = w-(8/15) // - w-(8/15)

11/15-w+8/15 = 0

19/15-w = 0 // - 19/15

-w = -19/15 // * -1

w = 19/15

w = 19/15